SOLUTION: what is the step by step process of solving this polynomial by factoring? 27x^3+125=0

SOLUTION: what is the step by step process of solving this polynomial by factoring? 27x^3+125=0

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Question 393464: what is the step by step process of solving this polynomial by factoring?
27x^3+125=0
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Facor:
Did you notice that you have the sum of two cubes?

The sum of two cubes can be factored thus:

In your problem, A = 3x and B = 5, so...
becomes:
Apply the zero product rule:
or
Do the first factor:
Subtract 5.
Divide by 3.

Do the second factor:
Use the quadratic formula to solve: and a = 9, b = -15, and c = 25.

and when you work this out, you should get:
and
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